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Finding the Fourth Proportional to 1,987.56, 2,742.93 and 1,201.77

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Solution

The fourth proportional to 1,987.56, 2,742.93 and 1,201.77 is: 1,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.56 : 2,742.93 = 1,201.77 : x
  2. Step 2: Convert to fraction form
    1,987.56/2,742.93 = 1,201.77/x
  3. Step 3: Cross multiply
    1,987.56x = 2,742.93 × 1,201.77
  4. Step 4: Simplify right side
    1,987.56x = 3,296,370.99
  5. Step 5: Solve for x
    x = 3,296,370.99/1,987.56
  6. Step 6: Final answer
    x = 1,658.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.